Competition at the front of expanding populations

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• Mehran Kardar (Massachusetts Institute of Technology)
• Wednesday 05 July 2023, 11:30-12:00
• Seminar Room 1, Newton Institute.

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SPLW01 - Building a bridge between non-equilibrium statistical physics and biology

When competing species grow into new territory, the population is dominated by descendants of successful ancestors at the expansion front. Successful ancestry depends of the reproductive advantage (fitness), as well as ability to colonize new domains. Based on symmetry considerations, we present a model that  integrates both elements by coupling the classic description of one-dimensional competition (Fisher equation) to the minimal model of front shape (KPZ equation). Macroscopic manifestations of these equations on growth morphology are explored, providing a framework to study spatial competition, fixation, and differentiation, In particular, we find that ability to expand in space may overcome reproductive advantage in colonizing new territory.

This talk is part of the Isaac Newton Institute Seminar Series series.

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